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Finding the Third Proportional to 6,135 and 11,622

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Solution

The third proportional to 6,135 and 11,622 is: 22,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135 : 11,622 = 11,622 : x
  2. Step 2: Convert to fraction form
    6,135/11,622 = 11,622/x
  3. Step 3: Cross multiply
    6,135x = 11,622 × 11,622
  4. Step 4: Simplify right side
    6,135x = 135,070,884
  5. Step 5: Solve for x
    x = 135,070,884/6,135
  6. Step 6: Final answer
    x = 22,016.44

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.